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zloy xaker [14]
4 years ago
13

3 addef to 8 times a number is the same as 3 times the value of 2 times the number minus 1. What is the number?

Mathematics
1 answer:
Luba_88 [7]4 years ago
5 0

Answer:

The answer is -3.

Step-by-step explanation:

3+8n=3(2n-1) would be the equation. To find the number, solve for n.

3+8n= 6n-3   First distribute the 3 to 2n and -1.

3+2n=-3          Subtract 6n from each side.

2n=-6              Subtract 3 from each side.

n=-3                 Divide by 2 on each side.

n=-3 is your final answer :)

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<h2><u>Answer :</u></h2>

‎ㅤ‎ㅤ‎ㅤ‎ㅤ‎ㅤ\bigstar\boxed{\large\bf{\leadsto -\dfrac{28}{9}}}

⠀⠀━━━━━━━━━━━━━━━━━━━━━━━━━━━━⠀⠀

<h2><u>Calculation</u><u> </u><u>:</u></h2>

‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎\bf{⟼ \dfrac{\dfrac{14}{9}}{\dfrac{-1}{3}-\dfrac{1}{6}}}

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎

‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎\bf{⟼ \dfrac{\dfrac{14}{9}}{\dfrac{-2-1}{6}}}

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎

‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎\bf{⟼ \dfrac{\dfrac{14}{9}}{\dfrac{-3}{6}}}

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎

‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎\bf{⟼\dfrac{14}{9}\times -2}

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎

‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎\bf{⟼\dfrac{-28}{9}}

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎

⠀⠀━━━━━━━━━━━━━━━━━━━━━━━━━━━━⠀⠀

8 0
3 years ago
Use the function below to find F(4).
Alexxx [7]

Answer:

A. 81

Step-by-step explanation:

F(x)=3^{x}

if x=4, then F(4) = 3^{4} = 3×3×3×3=81

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2 years ago
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Answer:

-3x^2 +7x -4

-------------------------------

(x-3)(x-2)(x+3)

Step-by-step explanation:

2              3x

--------   - ----------

X^2-9    x^2 -5x+6

Factor

2                 3x

--------   -      ----------

(x-3)(x+3)   (x-3)(x-2)

Get a common denominator

2  (x-2)               3x(x+3)

--------   -             ----------

(x-3)(x+3)(x-2)   (x-3)(x-2)(x+3)

2x-4  - (3x^2 -9x)

-------------------------------

(x-3)(x-2)(x+3)

Distribute

2x-4  - 3x^2 +9x

-------------------------------

(x-3)(x-2)(x+3)

Combine like terms

-3x^2 +7x -4

-------------------------------

(x-3)(x-2)(x+3)

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Answer:

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Step-by-step explanation:

A(-4;2)

B(-2;-1)

C(1;1)

D(-4;-1)

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3 years ago
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